Question

A food safety guideline is that the mercury in fish should be below 1 part per million​ (ppm). Listed below are the amounts of mercury​ (ppm) found in tuna sushi sampled at different stores in a major city. Construct a

9999​%

confidence interval estimate of the mean amount of mercury in the population. Does it appear that there is too much mercury in tuna​ sushi?

0.610.61  

0.730.73  

0.100.10  

0.880.88  

1.281.28  

0.580.58  

0.930.93

What is the confidence interval estimate of the population mean

muμ​?

nothing

ppmless than<muμless than<nothing

ppm

​(Round to three decimal places as​ needed.)

Does it appear that there is too much mercury in tuna​ sushi?

A.

​No, because it is not possible that the mean is greater than 1 ppm.​ Also, at least one of the sample values is less than 1​ ppm, so at least some of the fish are safe.

B.

​No, because it is possible that the mean is not greater than 1 ppm.​ Also, at least one of the sample values is less than 1​ ppm, so at least some of the fish are safe.

C.

​Yes, because it is possible that the mean is greater than 1 ppm.​ Also, at least one of the sample values exceeds 1​ ppm, so at least some of the fish have too much mercury.

D.

​Yes, because it is possible that the mean is not greater than 1 ppm.​ Also, at least one of the sample values exceeds 1​ ppm, so at least some of the fish have too much mercury.

Answer 1

The statistical software output for this problem is:

On the basis of above output, 99% confidence interval will be:

0.219 < < 1.241

​Yes, because it is possible that the mean is greater than 1 ppm.​ Also, at least one of the sample values exceeds 1​ ppm, so at least some of the fish have too much mercury. Option C is correct.